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2025-02-Numerical/lib/nr/k_and_r/recipes/voltra.c
2025-09-12 18:55:25 +09:00

37 lines
720 B
C

#include "nrutil.h"
void voltra(n,m,t0,h,t,f,g,ak)
float (*ak)(),(*g)(),**f,*t,h,t0;
int m,n;
{
void lubksb(),ludcmp();
int i,j,k,l,*indx;
float d,sum,**a,*b;
indx=ivector(1,m);
a=matrix(1,m,1,m);
b=vector(1,m);
t[1]=t0;
for (k=1;k<=m;k++) f[k][1]=(*g)(k,t[1]);
for (i=2;i<=n;i++) {
t[i]=t[i-1]+h;
for (k=1;k<=m;k++) {
sum=(*g)(k,t[i]);
for (l=1;l<=m;l++) {
sum += 0.5*h*(*ak)(k,l,t[i],t[1])*f[l][1];
for (j=2;j<i;j++)
sum += h*(*ak)(k,l,t[i],t[j])*f[l][j];
a[k][l]=(k == l)-0.5*h*(*ak)(k,l,t[i],t[i]);
}
b[k]=sum;
}
ludcmp(a,m,indx,&d);
lubksb(a,m,indx,b);
for (k=1;k<=m;k++) f[k][i]=b[k];
}
free_vector(b,1,m);
free_matrix(a,1,m,1,m);
free_ivector(indx,1,m);
}